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42265332 = 22321769061
BaseRepresentation
bin1010000100111…
…0101011110100
32221112022010200
42201032223310
541304442312
64105520500
71022151354
oct241165364
987468120
1042265332
112194862a
12121a3130
1389aa995
145882b64
153a9d0dc
hex284eaf4

42265332 has 36 divisors (see below), whose sum is σ = 113123556. Its totient is φ = 13259520.

The previous prime is 42265331. The next prime is 42265351. The reversal of 42265332 is 23356224.

42265332 is a `hidden beast` number, since 4 + 2 + 2 + 653 + 3 + 2 = 666.

42265332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30404196 + 11861136 = 5514^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 42265296 and 42265305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42265331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33919 + ... + 35142.

It is an arithmetic number, because the mean of its divisors is an integer number (3142321).

Almost surely, 242265332 is an apocalyptic number.

It is an amenable number.

42265332 is an abundant number, since it is smaller than the sum of its proper divisors (70858224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42265332 is a wasteful number, since it uses less digits than its factorization.

42265332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69088 (or 69083 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 42265332 is about 6501.1792776388. The cubic root of 42265332 is about 348.3331134563. Note that the first 3 decimals are identical.

The spelling of 42265332 in words is "forty-two million, two hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 69061 138122 207183 276244 414366 621549 828732 1174037 1243098 2348074 2486196 3522111 4696148 7044222 10566333 14088444 21132666 42265332